1 Answer | Add Yours
The square root property is one method that is used to find the solutions to a quadratic equation of the type `(ax+b)^2 = c or, x^2 = c` This method involves taking the square roots of both sides of the equation. There is a possibility of two roots for every squared term, one positive and one negative, as both of these when squared give the same result. That is why a `+-` sign is inserted front of the side containing the constant, before taking the square root of that side.
Example: solve: `(x-2)^2 = 16`
the squared-variable term is isolated, so we will take the square root of each side
now simplify the radicals,
`x-2 = +-4`
`+-4` are rational numbers, which means
x-2 = +4 and x-2 =-4
hence x= 6 and -2, both these solutions are possible.
We’ve answered 396,318 questions. We can answer yours, too.Ask a question